D, because 1/4 is equivalent to 4/12 and 7/12+4/12=11/12 which is equivalent to 5/6
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Answer:
Option (1)
Step-by-step explanation:
System of equations is represented by two straight lines on a graph.
And solution of the system of equations is the point of intersection of these lines.
From the graph attached, two straight lines represent the system of equations.
And the point of intersection of these lines is the solution.
Therefore, solution of the system of equations will be (-6, -2).
Option (1) will be the correct option.
Answer:
16
Step-by-step explanation:
We can list out each of the numbers' prime factors first before deciding their greatest common factor.
16: 2 × 2 × 2 × 2
48: 2 × 2 × 2 × 2 × 3
As you can see the bolded parts, these are the common factors of the two numbers. To find the greatest common factors, we just have to multiply all their common factors together.
Greatest common factor of 16 & 48: 2 × 2 × 2 × 2 = 16
Answer:
s = 28.09 m/s
Step-by-step explanation:
Given that,
The equation that gives the height of the largest ocean waves when the wind speed is s knots is given by :

We need to find the wind speed if the largest waves are 15 feet high.
Put h = 15 feet in the above equation as follows :

So, the speed of the wind is 28.09 m/s.